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Finding the Fourth Proportional to 394.27, 590.64 and 284.16

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Solution

The fourth proportional to 394.27, 590.64 and 284.16 is: 425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.27 : 590.64 = 284.16 : x
  2. Step 2: Convert to fraction form
    394.27/590.64 = 284.16/x
  3. Step 3: Cross multiply
    394.27x = 590.64 × 284.16
  4. Step 4: Simplify right side
    394.27x = 167,835.69
  5. Step 5: Solve for x
    x = 167,835.69/394.27
  6. Step 6: Final answer
    x = 425.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.